publications

2025

1. Digital Twin

   Digital Twins - a golden age for industrial mathematics

   Dirk Hartmann and Herman Van der Auweraer

   J.Math.Industry, 2025

   DOI Bib HTML PDF

   

   @article{hartmann_digital_2025,
     title = {Digital {Twins} - a golden age for industrial mathematics},
     volume = {15},
     issn = {2190-5983},
     url = {https://mathematicsinindustry.springeropen.com/articles/10.1186/s13362-025-00170-3},
     doi = {10.1186/s13362-025-00170-3},
     number = {1},
     journal = {J.Math.Industry},
     author = {Hartmann, Dirk and {Van der Auweraer}, Herman},
     year = {2025},
     pub_note = {Publisher: Springer Science and Business Media LLC},
     dimensions = {true}
   }

2. Digital Twin

   Non-linear Real-Time Battery Digital Twins – Efficient and Explainable Surrogate Modeling

   Dirk Hartmann and Alexandru Ciobanas

   In Proceedings of the NAFEMS World Congress 2025, 2025

   Bib

   @inproceedings{hartmann_battery_2025,
     title = {Non-linear Real-Time Battery Digital Twins – Efficient and Explainable Surrogate Modeling},
     booktitle = {Proceedings of the {NAFEMS} World Congress 2025},
     address = {Salzburg},
     author = {Hartmann, Dirk and Ciobanas, Alexandru},
     year = {2025},
     dimensions = {false}
   }

3. SciML

   Transported Memory Networks accelerating Computational Fluid Dynamics

   Matthias Schulz, Gwendal Jouan, Daniel Berger, and 2 more authors

   arXiv preprint arXiv:2502.18591, 2025

   DOI Bib PDF

   

   @article{schulz_transported_2025,
     title = {Transported {Memory} {Networks} accelerating {Computational} {Fluid} {Dynamics}},
     journal = {arXiv preprint arXiv:2502.18591},
     author = {Schulz, Matthias and Jouan, Gwendal and Berger, Daniel and Gavranovic, Stefan and Hartmann, Dirk},
     year = {2025},
     doi = {10.48550/arXiv.2502.18591},
     dimensions = {true}
   }

2024

1. Solver

   Fast 3D solvers for interactive computational mechanics

   Stefan Gavranovic, Zain Hassan, Lukas Failer, and 1 more author

   J.Math.Industry, 2024

   DOI Bib HTML PDF

   

   @article{gavranovic_fast_2024,
     title = {Fast {3D} solvers for interactive computational mechanics},
     volume = {14},
     issn = {2190-5983},
     url = {https://mathematicsinindustry.springeropen.com/articles/10.1186/s13362-024-00160-x},
     doi = {10.1186/s13362-024-00160-x},
     number = {1},
     journal = {J.Math.Industry},
     author = {Gavranovic, Stefan and Hassan, Zain and Failer, Lukas and Hartmann, Dirk},
     year = {2024},
     pub_note = {Publisher: Springer Science and Business Media LLC},
     dimensions = {true}
   }

2023

1. SciML

   Operator inference with roll outs for learning reduced models from scarce and low-quality data

   Wayne Isaac Tan Uy, Dirk Hartmann, and Benjamin Peherstorfer

   Computers & Mathematics with Applications, 2023

   DOI Bib Preprint

   

   @article{uy_operator_2023,
     title = {Operator inference with roll outs for learning reduced models from scarce and low-quality data},
     volume = {145},
     issn = {0898-1221},
     url = {https://linkinghub.elsevier.com/retrieve/pii/S089812212300264X},
     doi = {10.1016/j.camwa.2023.06.012},
     journal = {Computers \& Mathematics with Applications},
     author = {Uy, Wayne Isaac Tan and Hartmann, Dirk and Peherstorfer, Benjamin},
     year = {2023},
     pub_note = {Publisher: Elsevier BV},
     pages = {224--239},
     preprint = {https://arxiv.org/pdf/2212.01418},
     dimensions = {true}
   }

2. SciML

   Active-learning-based nonintrusive model order reduction

   Qinyu Zhuang, Dirk Hartmann, Hans-Joachim Bungartz, and 1 more author

   DCE, 2023

   DOI Bib HTML PDF

   

   @article{zhuang_active-learning-based_2023,
     title = {Active-learning-based nonintrusive model order reduction},
     volume = {4},
     issn = {2632-6736},
     url = {https://www.cambridge.org/core/product/identifier/S2632673622000399/type/journal_article},
     doi = {10.1017/dce.2022.39},
     journal = {DCE},
     author = {Zhuang, Qinyu and Hartmann, Dirk and Bungartz, Hans-Joachim and Lorenzi, Juan M.},
     year = {2023},
     pub_note = {Publisher: Cambridge University Press (CUP)},
     dimensions = {true}
   }

3. Solver

   JAX-based gray-box modeling framework for hybrid thermal building models

   Felix Michael Sievers, Dirk Hartmann, and Hans-Joachim Bungartz

   In Building Simulation Conference Proceedings, 2023

   DOI Bib PDF

   

   @inproceedings{sievers_jax-based_2023,
     title = {{JAX}-based gray-box modeling framework for hybrid thermal building models},
     volume = {18},
     url = {https://publications.ibpsa.org/conference/paper/?id=bs2023_1641},
     doi = {10.26868/25222708.2023.1641},
     booktitle = {Building {Simulation} {Conference} {Proceedings}},
     publisher = {IBPSA},
     author = {Sievers, Felix Michael and Hartmann, Dirk and Bungartz, Hans-Joachim},
     year = {2023},
     pub_note = {ISSN: 2522-2708},
     dimensions = {true}
   }

2022

1. SciML

   A neural network multigrid solver for the Navier-Stokes equations

   Nils Margenberg, Dirk Hartmann, Christian Lessig, and 1 more author

   Journal of Computational Physics, 2022

   DOI Bib Preprint

   

   @article{margenberg_neural_2022,
     title = {A neural network multigrid solver for the {Navier}-{Stokes} equations},
     volume = {460},
     issn = {0021-9991},
     url = {https://linkinghub.elsevier.com/retrieve/pii/S0021999122000456},
     doi = {10.1016/j.jcp.2022.110983},
     urldate = {2025-07-07},
     journal = {Journal of Computational Physics},
     author = {Margenberg, Nils and Hartmann, Dirk and Lessig, Christian and Richter, Thomas},
     year = {2022},
     pub_note = {Publisher: Elsevier BV},
     pages = {110983},
     preprint = {https://arxiv.org/pdf/2008.11520},
     dimensions = {true}
   }

2. Digital Twin

   The executable digital twin: merging the digital and the physics worlds

   Herman Van der Auweraer and Dirk Hartmann

   arXiv preprint arXiv:2210.17402, 2022

   DOI Bib PDF

   

   @article{van_der_auweraer_executable_2022,
     title = {The executable digital twin: merging the digital and the physics worlds},
     journal = {arXiv preprint arXiv:2210.17402},
     author = {{Van der Auweraer}, Herman and Hartmann, Dirk},
     year = {2022},
     doi = {10.48550/arXiv.2210.17402},
     dimensions = {true}
   }

2021

1. SciML

   Model order reduction based on Runge–Kutta neural networks

   Qinyu Zhuang, Juan Manuel Lorenzi, Hans-Joachim Bungartz, and 1 more author

   DCE, 2021

   DOI Bib HTML PDF

   

   @article{zhuang_model_2021,
     title = {Model order reduction based on {Runge}–{Kutta} neural networks},
     volume = {2},
     issn = {2632-6736},
     url = {https://www.cambridge.org/core/product/identifier/S2632673621000150/type/journal_article},
     doi = {10.1017/dce.2021.15},
     journal = {DCE},
     author = {Zhuang, Qinyu and Lorenzi, Juan Manuel and Bungartz, Hans-Joachim and Hartmann, Dirk},
     year = {2021},
     pub_note = {Publisher: Cambridge University Press (CUP)},
     dimensions = {true}
   }

2. Solver

   GPU accelerated voxel-based machining simulation

   Florian Schnös, Dirk Hartmann, Birgit Obst, and 1 more author

   Int J Adv Manuf Technol, 2021

   DOI Bib HTML

   

   @article{schnos_gpu_2021,
     title = {{GPU} accelerated voxel-based machining simulation},
     volume = {115},
     issn = {0268-3768, 1433-3015},
     url = {https://link.springer.com/10.1007/s00170-021-07001-w},
     doi = {10.1007/s00170-021-07001-w},
     number = {1-2},
     urldate = {2025-07-07},
     journal = {Int J Adv Manuf Technol},
     author = {Schnös, Florian and Hartmann, Dirk and Obst, Birgit and Glashagen, Glenn},
     year = {2021},
     pub_note = {Publisher: Springer Science and Business Media LLC},
     pages = {275--289},
     dimensions = {true}
   }

3. SciML

   Machine learning-based optimal mesh generation in computational fluid dynamics

   Keefe Huang, Moritz Krügener, Alistair Brown, and 3 more authors

   arXiv preprint arXiv:2102.12923, 2021

   DOI Bib Preprint

   

   @article{huang_machine_2021,
     title = {Machine learning-based optimal mesh generation in computational fluid dynamics},
     journal = {arXiv preprint arXiv:2102.12923},
     author = {Huang, Keefe and Krügener, Moritz and Brown, Alistair and Menhorn, Friedrich and Bungartz, Hans-Joachim and Hartmann, Dirk},
     year = {2021},
     preprint = {https://arxiv.org/pdf/2102.12923},
     doi = {10.48550/arXiv.2102.12923},
     dimensions = {true}
   }

4. Digital Twin

   Digital Twins

   Dirk Hartmann and Herman Van der Auweraer

   In SEMA SIMAI Springer Series, 2021

   DOI Bib

   @incollection{hartmann_digital_2021,
     address = {Cham},
     title = {Digital {Twins}},
     isbn = {978-3-030-61843-8 978-3-030-61844-5},
     url = {http://link.springer.com/10.1007/978-3-030-61844-5_1},
     urldate = {2025-07-07},
     booktitle = {{SEMA} {SIMAI} {Springer} {Series}},
     publisher = {Springer International Publishing},
     author = {Hartmann, Dirk and {Van der Auweraer}, Herman},
     year = {2021},
     doi = {10.1007/978-3-030-61844-5_1},
     pub_note = {ISSN: 2199-3041, 2199-305X},
     pages = {3--17},
     dimensions = {true}
   }

5. SciML

   A differentiable solver approach to operator inference

   Dirk Hartmann and Lukas Failer

   arXiv preprint arXiv:2107.02093, 2021

   DOI Bib PDF

   

   @article{hartmann_differentiable_2021,
     title = {A differentiable solver approach to operator inference},
     journal = {arXiv preprint arXiv:2107.02093},
     author = {Hartmann, Dirk and Failer, Lukas},
     year = {2021},
     keywords = {DH},
     doi = {10.48550/arXiv.2107.02093},
     dimensions = {true}
   }

6. Digital Twin

   Real-Time Digital Twins

   Dirk Hartmann

   Sep 2021

   DOI Bib PDF

   @misc{hartmann_2021_5470479,
     author = {Hartmann, Dirk},
     title = {Real-Time Digital Twins},
     howpublished = {TransContinuum Initiative, ETP4HPC},
     month = sep,
     year = {2021},
     publisher = {Zenodo},
     doi = {10.5281/zenodo.5470479},
     url = {https://doi.org/10.5281/zenodo.5470479},
     dimensions = true
   }

7. Digital Twin

   Model order reduction and digital twins

   Dirk Hartmann, Matthias Herz, Meinhard Paffrath, and 4 more authors

   In Model Order Reduction, Volume 3: Applications, Sep 2021

   DOI Bib PDF

   

   @incollection{hartmann_model_2021,
     title = {Model order reduction and digital twins},
     url = {https://www.degruyter.com/document/doi/10.1515/9783110499001-012/html},
     booktitle = {Model Order Reduction, Volume 3: Applications},
     publisher = {De Gruyter},
     address = {Berlin, Boston},
     author = {Hartmann, Dirk and Herz, Matthias and Paffrath, Meinhard and Rommes, Joost and Tamarozzi, Tommaso and {Van der Auweraer}, Herman and Wever, Utz},
     year = {2021},
     isbn = {9783110499001},
     doi = {10.1515/9783110499001-012},
     pages = {379--430},
     dimensions = {false}
   }

2020

1. Manufacturing

   Probabilistic information fusion to model the pose-dependent dynamics of milling robots

   Maximilian Busch, Florian Schnoes, Thomas Semm, and 3 more authors

   Prod. Eng. Res. Devel., Sep 2020

   DOI Bib HTML

   

   @article{busch_probabilistic_2020,
     title = {Probabilistic information fusion to model the pose-dependent dynamics of milling robots},
     volume = {14},
     issn = {0944-6524, 1863-7353},
     url = {https://link.springer.com/10.1007/s11740-020-00975-8},
     doi = {10.1007/s11740-020-00975-8},
     number = {4},
     journal = {Prod. Eng. Res. Devel.},
     author = {Busch, Maximilian and Schnoes, Florian and Semm, Thomas and Zaeh, Michael F. and Obst, Birgit and Hartmann, Dirk},
     year = {2020},
     pub_note = {Publisher: Springer Science and Business Media LLC},
     pages = {435--444},
     dimensions = {true}
   }

2. Manufacturing

   Combined offline simulation and online adaptation approach for the accuracy improvement of milling robots

   Michael F. Zaeh, Florian Schnoes, Birgit Obst, and 1 more author

   CIRP Annals, Sep 2020

   DOI Bib

   

   @article{zaeh_combined_2020,
     title = {Combined offline simulation and online adaptation approach for the accuracy improvement of milling robots},
     volume = {69},
     issn = {0007-8506},
     url = {https://linkinghub.elsevier.com/retrieve/pii/S0007850620300676},
     doi = {10.1016/j.cirp.2020.04.045},
     number = {1},
     journal = {CIRP Annals},
     author = {Zaeh, Michael F. and Schnoes, Florian and Obst, Birgit and Hartmann, Dirk},
     year = {2020},
     pub_note = {Publisher: Elsevier BV},
     pages = {337--340},
     dimensions = {true}
   }

2019

1. Solver

   Topology Optimization Using GPGPU

   Stefan Gavranovic, Dirk Hartmann, and Utz Wever

   In Computational Methods in Applied Sciences, Sep 2019

   DOI Bib

   

   @incollection{gavranovic_topology_2019,
     address = {Cham},
     title = {Topology {Optimization} {Using} {GPGPU}},
     isbn = {978-3-319-89986-2 978-3-319-89988-6},
     url = {http://link.springer.com/10.1007/978-3-319-89988-6_33},
     booktitle = {Computational {Methods} in {Applied} {Sciences}},
     publisher = {Springer International Publishing},
     author = {Gavranovic, Stefan and Hartmann, Dirk and Wever, Utz},
     year = {2019},
     doi = {10.1007/978-3-319-89988-6_33},
     pub_note = {ISSN: 1871-3033},
     pages = {553--566},
     dimensions = {true}
   }

2. SciML

   Novel method for online wear estimation of centrifugal pumps using multi-fidelity modeling

   Christoph Bergs, Michael Heizmann, Dirk Hartmann, and 1 more author

   In 2019 IEEE International Conference on Industrial Cyber Physical Systems (ICPS), Sep 2019

   DOI Bib

   

   @inproceedings{bergs_novel_2019,
     address = {Taipei, Taiwan},
     title = {Novel method for online wear estimation of centrifugal pumps using multi-fidelity modeling},
     url = {https://ieeexplore.ieee.org/document/8780197/},
     doi = {10.1109/icphys.2019.8780197},
     booktitle = {2019 {IEEE} {International} {Conference} on {Industrial} {Cyber} {Physical} {Systems} ({ICPS})},
     publisher = {IEEE},
     author = {Bergs, Christoph and Heizmann, Michael and Hartmann, Dirk and Carillo, Gilberto Lem},
     year = {2019},
     pages = {185--190},
     dimensions = {true}
   }

2018

1. Digital Twin

   Model Order Reduction a Key Technology for Digital Twins

   Dirk Hartmann, Matthias Herz, and Utz Wever

   In Reduced-Order Modeling (ROM) for Simulation and Optimization, Sep 2018

   DOI Bib

   

   @incollection{hartmann_model_2018,
     address = {Cham},
     title = {Model {Order} {Reduction} a {Key} {Technology} for {Digital} {Twins}},
     isbn = {978-3-319-75318-8 978-3-319-75319-5},
     url = {http://link.springer.com/10.1007/978-3-319-75319-5_8},
     booktitle = {Reduced-{Order} {Modeling} ({ROM}) for {Simulation} and {Optimization}},
     publisher = {Springer International Publishing},
     author = {Hartmann, Dirk and Herz, Matthias and Wever, Utz},
     year = {2018},
     doi = {10.1007/978-3-319-75319-5_8},
     pages = {167--179},
     dimensions = {true}
   }

2. Solver

   Galerkin local maximum entropy method

   Nils-Arne Dreier, Christian Engwer, and Dirk Hartmann

   Numerical Methods in Fluids, Sep 2018

   DOI Bib

   

   @article{dreier_galerkin_2018,
     title = {Galerkin local maximum entropy method},
     volume = {88},
     issn = {0271-2091, 1097-0363},
     url = {https://onlinelibrary.wiley.com/doi/10.1002/fld.4513},
     doi = {10.1002/fld.4513},
     language = {en},
     number = {2},
     journal = {Numerical Methods in Fluids},
     author = {Dreier, Nils-Arne and Engwer, Christian and Hartmann, Dirk},
     year = {2018},
     pub_note = {Publisher: Wiley},
     pages = {100--115},
     dimensions = {true}
   }

3. Digital Twin

   Simulation and digital twin for mechatronic product design

   Herman Van der Auweraer, Stijn Donders, Dirk Hartmann, and 1 more author

   In Proceedings of ISMA 2018-International Conference on Noise and Vibration Engineering and USD 2018-International Conference on Uncertainty in Structural Dynamics, Sep 2018

   Bib

   

   @inproceedings{van_der_auweraer_simulation_2018,
     title = {Simulation and digital twin for mechatronic product design},
     booktitle = {Proceedings of {ISMA} 2018-{International} {Conference} on {Noise} and {Vibration} {Engineering} and {USD} 2018-{International} {Conference} on {Uncertainty} in {Structural} {Dynamics}},
     publisher = {KATHOLIEKE UNIV LEUVEN, DEPT WERKTUIGKUNDE},
     author = {{Van der Auweraer}, Herman and Donders, Stijn and Hartmann, Dirk and Desmet, Wim},
     year = {2018},
     pages = {3547--3565},
     dimensions = {false}
   }

2014

1. PedDyn

   Efficient Dynamic Floor Field Methods for Microscopic Pedestrian Crowd Simulations

   Dirk Hartmann and Peter Hasel

   Commun. comput. phys., Sep 2014

   DOI Bib

   

   @article{hartmann_efficient_2014,
     title = {Efficient {Dynamic} {Floor} {Field} {Methods} for {Microscopic} {Pedestrian} {Crowd} {Simulations}},
     volume = {16},
     issn = {1815-2406, 1991-7120},
     url = {https://www.cambridge.org/core/product/identifier/S1815240600005557/type/journal_article},
     doi = {10.4208/cicp.200513.290114a},
     number = {1},
     urldate = {2025-07-07},
     journal = {Commun. comput. phys.},
     author = {Hartmann, Dirk and Hasel, Peter},
     year = {2014},
     pub_note = {Publisher: Global Science Press},
     pages = {264--286},
     dimensions = {true}
   }

2. PedDyn

   On Modeling Groups in Crowds: Empirical Evidence and Simulation Results Including Large Groups

   Verena Reuter, Benjamin S. Bergner, Gerta Köster, and 3 more authors

   In Pedestrian and Evacuation Dynamics 2012, Sep 2014

   DOI Bib

   

   @incollection{reuter_modeling_2014,
     address = {Cham},
     title = {On {Modeling} {Groups} in {Crowds}: {Empirical} {Evidence} and {Simulation} {Results} {Including} {Large} {Groups}},
     isbn = {978-3-319-02446-2 978-3-319-02447-9},
     shorttitle = {On {Modeling} {Groups} in {Crowds}},
     url = {https://link.springer.com/10.1007/978-3-319-02447-9_70},
     booktitle = {Pedestrian and {Evacuation} {Dynamics} 2012},
     publisher = {Springer International Publishing},
     author = {Reuter, Verena and Bergner, Benjamin S. and Köster, Gerta and Seitz, Michael and Treml, Franz and Hartmann, Dirk},
     year = {2014},
     doi = {10.1007/978-3-319-02447-9_70},
     pages = {835--845},
     dimensions = {true}
   }

3. PedDyn

   Dynamic Medium Scale Navigation Using Dynamic Floor Fields

   Dirk Hartmann, Jana Mille, Alexander Pfaffinger, and 1 more author

   In Pedestrian and Evacuation Dynamics 2012, Sep 2014

   DOI Bib

   

   @incollection{hartmann_dynamic_2014,
     address = {Cham},
     title = {Dynamic {Medium} {Scale} {Navigation} {Using} {Dynamic} {Floor} {Fields}},
     isbn = {978-3-319-02446-2 978-3-319-02447-9},
     url = {https://link.springer.com/10.1007/978-3-319-02447-9_102},
     language = {en},
     urldate = {2025-07-07},
     booktitle = {Pedestrian and {Evacuation} {Dynamics} 2012},
     publisher = {Springer International Publishing},
     author = {Hartmann, Dirk and Mille, Jana and Pfaffinger, Alexander and Royer, Christian},
     year = {2014},
     doi = {10.1007/978-3-319-02447-9_102},
     pages = {1237--1249},
     dimensions = {true}
   }

4. PedDyn

   Using a Multi-Scale Model for Simulating Pedestrian Behavior

   Angelika Kneidl, Dirk Hartmann, and André Borrmann

   In Pedestrian and Evacuation Dynamics 2012, Sep 2014

   DOI Bib Preprint

   

   @incollection{kneidl_using_2014,
     address = {Cham},
     title = {Using a {Multi}-{Scale} {Model} for {Simulating} {Pedestrian} {Behavior}},
     isbn = {978-3-319-02446-2 978-3-319-02447-9},
     url = {https://link.springer.com/10.1007/978-3-319-02447-9_85},
     booktitle = {Pedestrian and {Evacuation} {Dynamics} 2012},
     publisher = {Springer International Publishing},
     author = {Kneidl, Angelika and Hartmann, Dirk and Borrmann, André},
     year = {2014},
     doi = {10.1007/978-3-319-02447-9_85},
     pages = {1029--1038},
     preprint = {https://publications.cms.bgu.tum.de/Kneidl_2012_FBI.pdf},
     dimensions = {true}
   }

5. PedDyn

   Influence of Emissions on Pedestrian Evacuation

   Hermann Mayer, Dirk Hartmann, Wolfram Klein, and 1 more author

   In Pedestrian and Evacuation Dynamics 2012, Sep 2014

   DOI Bib

   

   @incollection{mayer_influence_2014,
     address = {Cham},
     title = {Influence of {Emissions} on {Pedestrian} {Evacuation}},
     isbn = {978-3-319-02446-2 978-3-319-02447-9},
     url = {https://link.springer.com/10.1007/978-3-319-02447-9_29},
     booktitle = {Pedestrian and {Evacuation} {Dynamics} 2012},
     publisher = {Springer International Publishing},
     author = {Mayer, Hermann and Hartmann, Dirk and Klein, Wolfram and Zechlin, Oliver},
     year = {2014},
     doi = {10.1007/978-3-319-02447-9_29},
     pages = {351--359},
     dimensions = {true}
   }

2013

1. Digital Twin

   Integration of complex 3d-simulations within systems simulations using response surfaces

   Dirk Hartmann and Michael Mahler

   In Proceedings of the NAFEMS Seminar Strömungsberechnungen (CFD) in der Systemsimulation, Sep 2013

   Bib

   

   @inproceedings{hartmann_integration_2013,
     title = {Integration of complex 3d-simulations within systems simulations using response surfaces},
     booktitle = {Proceedings of the {NAFEMS} {Seminar} {Strömungsberechnungen} ({CFD}) in der {Systemsimulation}},
     author = {Hartmann, Dirk and Mahler, Michael},
     year = {2013},
     dimensions = {false}
   }

2. PedDyn

   A hybrid multi-scale approach for simulation of pedestrian dynamics

   Angelika Kneidl, Dirk Hartmann, and André Borrmann

   Transportation Research Part C: Emerging Technologies, Sep 2013

   DOI Bib

   

   @article{kneidl_hybrid_2013,
     title = {A hybrid multi-scale approach for simulation of pedestrian dynamics},
     volume = {37},
     issn = {0968-090X},
     url = {https://linkinghub.elsevier.com/retrieve/pii/S0968090X13000594},
     doi = {10.1016/j.trc.2013.03.005},
     journal = {Transportation Research Part C: Emerging Technologies},
     author = {Kneidl, Angelika and Hartmann, Dirk and Borrmann, André},
     year = {2013},
     pub_note = {Publisher: Elsevier BV},
     pages = {223--237},
     dimensions = {true}
   }

3. PedDyn

   Structured first order conservation models for pedestrian dynamics

   Dirk Hartmann and Isabella Von Sivers

   Networks & Heterogeneous Media, Sep 2013

   DOI Bib

   

   @article{hartmann_structured_2013,
     title = {Structured first order conservation models for pedestrian dynamics},
     volume = {8},
     issn = {1556-181X},
     url = {http://aimsciences.org//article/doi/10.3934/nhm.2013.8.985},
     doi = {10.3934/nhm.2013.8.985},
     number = {4},
     journal = {Networks \& Heterogeneous Media},
     author = {Hartmann, Dirk and Von Sivers, Isabella},
     year = {2013},
     pub_note = {Publisher: American Institute of Mathematical Sciences (AIMS)},
     pages = {985--1007},
     dimensions = {true}
   }

4. MechBio

   A Mechanochemical Model for Embryonic Pattern Formation: Coupling Tissue Mechanics and Morphogen Expression

   Moritz Mercker, Dirk Hartmann, and Anna Marciniak-Czochra

   PLoS ONE, Sep 2013

   DOI Bib HTML PDF

   

   @article{mercker_mechanochemical_2013,
     title = {A {Mechanochemical} {Model} for {Embryonic} {Pattern} {Formation}: {Coupling} {Tissue} {Mechanics} and {Morphogen} {Expression}},
     volume = {8},
     issn = {1932-6203},
     shorttitle = {A {Mechanochemical} {Model} for {Embryonic} {Pattern} {Formation}},
     url = {https://dx.plos.org/10.1371/journal.pone.0082617},
     doi = {10.1371/journal.pone.0082617},
     number = {12},
     urldate = {2025-07-07},
     journal = {PLoS ONE},
     author = {Mercker, Moritz and Hartmann, Dirk and Marciniak-Czochra, Anna},
     editor = {Kabla, Alexandre J.},
     year = {2013},
     pub_note = {Publisher: Public Library of Science (PLoS)},
     pages = {e82617},
     dimensions = {true}
   }

5. MechBio

   Modeling and Computing of Deformation Dynamics of Inhomogeneous Biological Surfaces

   Moritz Mercker, Anna Marciniak-Czochra, Thomas Richter, and 1 more author

   SIAM J. Appl. Math., Sep 2013

   DOI Bib

   

   @article{mercker_modeling_2013,
     title = {Modeling and {Computing} of {Deformation} {Dynamics} of {Inhomogeneous} {Biological} {Surfaces}},
     volume = {73},
     issn = {0036-1399, 1095-712X},
     url = {http://epubs.siam.org/doi/10.1137/120885553},
     doi = {10.1137/120885553},
     number = {5},
     urldate = {2025-07-07},
     journal = {SIAM J. Appl. Math.},
     author = {Mercker, Moritz and Marciniak-Czochra, Anna and Richter, Thomas and Hartmann, Dirk},
     year = {2013},
     pub_note = {Publisher: Society for Industrial \& Applied Mathematics (SIAM)},
     pages = {1768--1792},
     dimensions = {true}
   }

2012

1. PedDyn

   Generation and use of sparse navigation graphs for microscopic pedestrian simulation models

   Angelika Kneidl, André Borrmann, and Dirk Hartmann

   Advanced Engineering Informatics, Sep 2012

   DOI Bib Preprint

   

   @article{kneidl_generation_2012,
     title = {Generation and use of sparse navigation graphs for microscopic pedestrian simulation models},
     volume = {26},
     issn = {1474-0346},
     url = {https://linkinghub.elsevier.com/retrieve/pii/S1474034612000365},
     doi = {10.1016/j.aei.2012.03.006},
     number = {4},
     journal = {Advanced Engineering Informatics},
     author = {Kneidl, Angelika and Borrmann, André and Hartmann, Dirk},
     year = {2012},
     pub_note = {Publisher: Elsevier BV},
     pages = {669--680},
     preprint = {https://publications.cms.bgu.tum.de/Kneidl_2012_ADVEI.pdf},
     dimensions = {true}
   }

2. Solver

   Particle hydrodynamics based on maximum entropy approximation

   Dirk Hartmann

   Proc Appl Math and Mech, Sep 2012

   DOI Bib PDF

   

   @article{hartmann_particle_2012,
     title = {Particle hydrodynamics based on maximum entropy approximation},
     volume = {12},
     issn = {1617-7061, 1617-7061},
     url = {https://onlinelibrary.wiley.com/doi/10.1002/pamm.201210392},
     doi = {10.1002/pamm.201210392},
     number = {1},
     journal = {Proc Appl Math and Mech},
     author = {Hartmann, Dirk},
     year = {2012},
     pub_note = {Publisher: Wiley},
     pages = {831--834},
     dimensions = {true}
   }

3. MechBio

   A multiscale approach to curvature modulated sorting in biological membranes

   Moritz Mercker, Maria Ptashnyk, Jens Kühnle, and 3 more authors

   Journal of Theoretical Biology, Sep 2012

   DOI Bib

   

   @article{mercker_multiscale_2012,
     title = {A multiscale approach to curvature modulated sorting in biological membranes},
     volume = {301},
     issn = {0022-5193},
     url = {https://linkinghub.elsevier.com/retrieve/pii/S0022519312000598},
     doi = {10.1016/j.jtbi.2012.01.039},
     language = {en},
     journal = {Journal of Theoretical Biology},
     author = {Mercker, Moritz and Ptashnyk, Maria and Kühnle, Jens and Hartmann, Dirk and Weiss, Matthias and Jäger, Willi},
     year = {2012},
     pub_note = {Publisher: Elsevier BV},
     pages = {67--82},
     dimensions = {true}
   }

2011

1. PedDyn

   Integrating pedestrian simulation, tracking and event detection for crowd analysis

   Matthias Butenuth, Florian Burkert, Florian Schmidt, and 5 more authors

   In 2011 IEEE International Conference on Computer Vision Workshops (ICCV Workshops), Sep 2011

   DOI Bib Preprint

   

   @inproceedings{butenuth_integrating_2011,
     address = {Barcelona, Spain},
     title = {Integrating pedestrian simulation, tracking and event detection for crowd analysis},
     url = {http://ieeexplore.ieee.org/document/6130237/},
     doi = {10.1109/iccvw.2011.6130237},
     urldate = {2025-07-07},
     booktitle = {2011 {IEEE} {International} {Conference} on {Computer} {Vision} {Workshops} ({ICCV} {Workshops})},
     publisher = {IEEE},
     author = {Butenuth, Matthias and Burkert, Florian and Schmidt, Florian and Hinz, Stefan and Hartmann, Dirk and Kneidl, Angelika and Borrmann, Andre and Sirmacek, Beril},
     year = {2011},
     pages = {150--157},
     preprint = {https://publications.cms.bgu.tum.de/2011_Butenuth_ICCV.pdf},
     dimensions = {true}
   }

2. PedDyn

   On modelling the influence of group formations in a crowd

   Gerta Köster, Michael Seitz, Franz Treml, and 2 more authors

   Contemporary Social Science, Sep 2011

   DOI Bib

   

   @article{koster_modelling_2011,
     title = {On modelling the influence of group formations in a crowd},
     volume = {6},
     issn = {2158-2041, 2158-205X},
     url = {http://www.tandfonline.com/doi/abs/10.1080/21582041.2011.619867},
     doi = {10.1080/21582041.2011.619867},
     number = {3},
     journal = {Contemporary Social Science},
     author = {Köster, Gerta and Seitz, Michael and Treml, Franz and Hartmann, Dirk and Klein, Wolfram},
     year = {2011},
     pub_note = {Publisher: Informa UK Limited},
     pages = {397--414},
     dimensions = {true}
   }

3. PedDyn

   Microscopic Pedestrian Simulations: From Passenger Exchange Times to Regional Evacuation

   Gerta Köster, Dirk Hartmann, and Wolfram Klein

   In Operations Research Proceedings, Sep 2011

   DOI Bib

   

   @incollection{koster_microscopic_2011,
     address = {Berlin, Heidelberg},
     title = {Microscopic {Pedestrian} {Simulations}: {From} {Passenger} {Exchange} {Times} to {Regional} {Evacuation}},
     isbn = {978-3-642-20008-3 978-3-642-20009-0},
     shorttitle = {Microscopic {Pedestrian} {Simulations}},
     url = {https://link.springer.com/10.1007/978-3-642-20009-0_90},
     booktitle = {Operations {Research} {Proceedings}},
     publisher = {Springer Berlin Heidelberg},
     author = {Köster, Gerta and Hartmann, Dirk and Klein, Wolfram},
     year = {2011},
     doi = {10.1007/978-3-642-20009-0_90},
     pub_note = {ISSN: 0721-5924},
     pages = {571--576},
     dimensions = {true}
   }

4. PedDyn

   Combining pedestrian simulation with a network flow optimization to support security staff in handling an evacuation of a soccer stadium

   Angelika Kneidl, Markus Thiemann, Dirk Hartmann, and 1 more author

   In Proc. of the European Conference Forum 2011, Sep 2011

   Bib

   

   @inproceedings{kneidl_combining_2011,
     title = {Combining pedestrian simulation with a network flow optimization to support security staff in handling an evacuation of a soccer stadium},
     booktitle = {Proc. of the {European} {Conference} {Forum} 2011},
     author = {Kneidl, Angelika and Thiemann, Markus and Hartmann, Dirk and Borrmann, André},
     year = {2011},
     keywords = {DH},
     dimensions = {false}
   }

5. MechBio

   A new concept for multiscale modelling of growing cell cultures

   Dirk Hartmann

   Communications in Applied and Industrial Mathematics, Sep 2011

   Bib

   

   @article{hartmann_new_2011,
     title = {A new concept for multiscale modelling of growing cell cultures},
     volume = {1},
     number = {2},
     journal = {Communications in Applied and Industrial Mathematics},
     author = {Hartmann, Dirk},
     year = {2011},
     pages = {230--248},
     dimensions = {false}
   }

6. MechBio

   Sorting Mechanisms and Communication in Phase-Separating Coupled Monolayers

   Moritz Mercker, Thomas Richter, and Dirk Hartmann

   J. Phys. Chem. B, Sep 2011

   DOI Bib

   

   @article{mercker_sorting_2011,
     title = {Sorting {Mechanisms} and {Communication} in {Phase}-{Separating} {Coupled} {Monolayers}},
     volume = {115},
     issn = {1520-6106, 1520-5207},
     url = {https://pubs.acs.org/doi/10.1021/jp204127g},
     doi = {10.1021/jp204127g},
     number = {40},
     journal = {J. Phys. Chem. B},
     author = {Mercker, Moritz and Richter, Thomas and Hartmann, Dirk},
     year = {2011},
     pub_note = {Publisher: American Chemical Society (ACS)},
     pages = {11739--11745},
     dimensions = {true}
   }

2010

1. PedDyn

   Einsatz von graphbasierten Ansätzen in einer mikroskopischen Personenstromsimulation für die Wegewahl der Fußgänger

   Angelika Kneidl, André Borrmann, and Dirk Hartmann

   In Forum Bauinformatik, Sep 2010

   Bib

   

   @inproceedings{kneidl_einsatz_2010,
     title = {Einsatz von graphbasierten {Ansätzen} in einer mikroskopischen {Personenstromsimulation} für die {Wegewahl} der {Fußgänger}},
     booktitle = {Forum {Bauinformatik}},
     author = {Kneidl, Angelika and Borrmann, André and Hartmann, Dirk},
     year = {2010},
     dimensions = {false}
   }

2. PedDyn

   Adaptive pedestrian dynamics based on geodesics

   Dirk Hartmann

   New J. Phys., Sep 2010

   DOI Bib PDF

   

   @article{hartmann_adaptive_2010,
     title = {Adaptive pedestrian dynamics based on geodesics},
     volume = {12},
     issn = {1367-2630},
     url = {https://iopscience.iop.org/article/10.1088/1367-2630/12/4/043032},
     doi = {10.1088/1367-2630/12/4/043032},
     number = {4},
     urldate = {2025-07-07},
     journal = {New J. Phys.},
     author = {Hartmann, Dirk},
     year = {2010},
     pub_note = {Publisher: IOP Publishing},
     pages = {043032},
     dimensions = {true}
   }

3. MechBio

   A multiscale model for red blood cell mechanics

   Dirk Hartmann

   Biomech Model Mechanobiol, Sep 2010

   DOI Bib

   

   @article{hartmann_multiscale_2010,
     title = {A multiscale model for red blood cell mechanics},
     volume = {9},
     issn = {1617-7959, 1617-7940},
     url = {http://link.springer.com/10.1007/s10237-009-0154-5},
     doi = {10.1007/s10237-009-0154-5},
     number = {1},
     urldate = {2025-07-07},
     journal = {Biomech Model Mechanobiol},
     author = {Hartmann, Dirk},
     year = {2010},
     pub_note = {Publisher: Springer Science and Business Media LLC},
     pages = {1--17},
     dimensions = {true}
   }

2009

1. MechBio

   The cyst-branch difference in developing chick lung results from a different morphogen diffusion coefficient

   Takashi Miura, Dirk Hartmann, Masato Kinboshi, and 3 more authors

   Mechanisms of Development, Sep 2009

   DOI Bib HTML

   

   @article{miura_cyst-branch_2009,
     title = {The cyst-branch difference in developing chick lung results from a different morphogen diffusion coefficient},
     volume = {126},
     issn = {0925-4773},
     url = {https://linkinghub.elsevier.com/retrieve/pii/S0925477308001809},
     doi = {10.1016/j.mod.2008.11.006},
     number = {3-4},
     journal = {Mechanisms of Development},
     author = {Miura, Takashi and Hartmann, Dirk and Kinboshi, Masato and Komada, Munekazu and Ishibashi, Makoto and Shiota, Kohei},
     year = {2009},
     pub_note = {Publisher: Elsevier BV},
     pages = {160--172},
     dimensions = {true}
   }

2008

1. MechBio

   Multiscale Modelling, Analysis, and Simulation in Mechanobiology

   Dirk Hartmann

   Sep 2008

   PhD thesis, Heidelberg University

   Bib PDF

   

   @phdthesis{hartmann_multiscale_2008,
     title = {Multiscale {Modelling}, {Analysis}, and {Simulation} in {Mechanobiology}},
     url = {http://archiv.ub.uni-heidelberg.de/volltextserver/id/eprint/8014},
     urldate = {2025-07-07},
     author = {Hartmann, Dirk},
     year = {2008},
     note = {PhD thesis, Heidelberg University},
     dimensions = {false}
   }

2007

1. MechBio

   Mathematical analysis of a free-boundary model for lung branching morphogenesis

   Dirk Hartmann and Takashi Miura

   Mathematical Medicine and Biology: A Journal of the IMA, Sep 2007

   DOI Bib

   

   @article{hartmann_mathematical_2007,
     title = {Mathematical analysis of a free-boundary model for lung branching morphogenesis},
     volume = {24},
     issn = {1477-8602, 1477-8599},
     url = {http://academic.oup.com/imammb/article/24/2/209/685952/Mathematical-analysis-of-a-freeboundary-model-for},
     doi = {10.1093/imammb/dql029},
     number = {2},
     urldate = {2025-07-07},
     journal = {Mathematical Medicine and Biology: A Journal of the IMA},
     author = {Hartmann, Dirk and Miura, Takashi},
     year = {2007},
     pub_note = {Publisher: Oxford University Press (OUP)},
     pages = {209--224},
     dimensions = {true}
   }

2. MechBio

   Limit behaviour of spatially growing cell cultures

   Dirk Hartmann

   Journal of Theoretical Biology, Sep 2007

   DOI Bib

   

   @article{hartmann_limit_2007,
     title = {Limit behaviour of spatially growing cell cultures},
     volume = {244},
     issn = {0022-5193},
     url = {https://linkinghub.elsevier.com/retrieve/pii/S0022519306003936},
     doi = {10.1016/j.jtbi.2006.08.026},
     number = {3},
     journal = {Journal of Theoretical Biology},
     author = {Hartmann, Dirk},
     year = {2007},
     pub_note = {Publisher: Elsevier BV},
     pages = {409--415},
     dimensions = {true}
   }

2006

1. MechBio

   Modelling in vitro lung branching morphogenesis during development

   Dirk Hartmann and Takashi Miura

   Journal of Theoretical Biology, Sep 2006

   DOI Bib

   

   @article{hartmann_modelling_2006,
     title = {Modelling in vitro lung branching morphogenesis during development},
     volume = {242},
     issn = {0022-5193},
     url = {https://linkinghub.elsevier.com/retrieve/pii/S0022519306001950},
     doi = {10.1016/j.jtbi.2006.05.009},
     number = {4},
     urldate = {2025-07-07},
     journal = {Journal of Theoretical Biology},
     author = {Hartmann, Dirk and Miura, Takashi},
     year = {2006},
     pub_note = {Publisher: Elsevier BV},
     pages = {862--872},
     dimensions = {true}
   }

2004

1. MechBio

   Pattern Formation in Cultures of Bacillus Subtilis

   Dirk Hartmann

   J. Biol. Syst., Sep 2004

   DOI Bib

   

   @article{hartmann_pattern_2004,
     title = {Pattern {Formation} in {Cultures} of {Bacillus} {Subtilis}},
     volume = {12},
     issn = {0218-3390, 1793-6470},
     url = {https://www.worldscientific.com/doi/abs/10.1142/S0218339004001105},
     doi = {10.1142/s0218339004001105},
     number = {02},
     urldate = {2025-07-07},
     journal = {J. Biol. Syst.},
     author = {Hartmann, Dirk},
     year = {2004},
     pub_note = {Publisher: World Scientific Pub Co Pte Lt},
     pages = {179--199},
     dimensions = {true}
   }